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F. W. J. Olver

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All published works
Action Title Year Authors
+ Error Functions, Dawson’s and Fresnel Integrals 2010 Nico Μ. ΀emme
F. W. J. Olver
Daniel W. Lozier
Ronald F. Boisvert
Charles W. Clark
+ The NIST Handbook of Mathematical Functions 2010 F. W. J. Olver
Daniel W. Lozier
Ronald F. Boisvert
Charles W. Clark
+ Airy and related functions. 2010 F. W. J. Olver
+ Computation of complex Airy functions and their zeros using asymptotics and the differential equation 2004 Bruce R. Fabijonas
Daniel W. Lozier
F. W. J. Olver
+ RESURGENCE IN DIFFERENCE EQUATIONS, WITH AN APPLICATION TO LEGENDRE FUNCTIONS 2000 F. W. J. Olver
+ Selected papers of F.W.J. Olver 2000 R. Wong
F. W. J. Olver
+ On the Reversion of an Asymptotic Expansion and the Zeros of the Airy Functions 1999 Bruce R. Fabijonas
F. W. J. Olver
+ PDF Chat On the uniqueness of asymptotic solutions of linear differential equations 1999 F. W. J. Olver
+ On the Asymptotic and Numerical Solution of Linear Ordinary Differential Equations 1998 Adri B. Olde Daalhuis
F. W. J. Olver
+ Asymptotics and Special Functions 1997 F. W. J. Olver
+ PDF Chat Asymptotic solutions of linear ordinary differential equations at an irregular singularity of rank unity 1997 F. W. J. Olver
+ PDF Chat Hyperasymptotic solutions of second-order linear differential equations I 1995 Adri B. Olde Daalhuis
F. W. J. Olver
+ PDF Chat On the calculation of Stokes multipliers for linear differential equations of the second order 1995 Adri B. Olde Daalhuis
F. W. J. Olver
+ PDF Chat Numerical evaluation of special functions 1994 Daniel W. Lozier
F. W. J. Olver
+ PDF Chat Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations 1994 F. W. J. Olver
+ Exponentially-Improved Asymptotic Solutions of Ordinary Differential Equations I: The Confluent Hypergeometric Function 1993 F. W. J. Olver
+ Airy and Bessel Functions by Parallel Integration of ODEs. 1993 Daniel W. Lozier
F. W. J. Olver
+ Uniform, Exponentially Improved, Asymptotic Expansions for the Confluent Hypergeometric Function and Other Integral Transforms 1991 F. W. J. Olver
+ Uniform, Exponentially improved, Asymptotic Expansions for the Generalized Exponential Integral 1991 F. W. J. Olver
+ Level-index arithmetic: An introductory survey 1989 C. W. Clenshaw
F. W. J. Olver
Peter Turner
+ Level-Index Arithmetic: An Introductory Survey 1989 C. W. Clenshaw
F. W. J. Olver
Peter Turner
+ PDF Chat Error Bounds for Linear Recurrence Relations 1988 F. W. J. Olver
+ A closed computer arithmetic 1987 F. W. J. Olver
+ Linear Turning Point Theory (Wolfgang Wasow) 1986 F. W. J. Olver
+ Associated legendre functions on the cut 1983 F. W. J. Olver
John M. Smith
+ Error Analysis of Complex Arithmetic 1983 F. W. J. Olver
+ PDF Chat A Posteriori Error Bounds for Gaussian Elimination 1982 F. W. J. Olver
J. H. Wilkinson
+ PDF Chat Extended-Range Arithmetic and Normalized Legendre Polynomials 1981 John M. Smith
F. W. J. Olver
Daniel W. Lozier
+ Asymptotic Approximations and Error Bounds 1980 F. W. J. Olver
+ An Unrestricted Algorithm for the Exponential Function 1980 C. W. Clenshaw
F. W. J. Olver
+ Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions 1980 F. W. J. Olver
+ The General Connection-Formula Problem for Linear Differential Equations of the Second Order 1980 F. W. J. Olver
+ Asymptotic approximations for parabolic cylinder functions 1978 Carlos J. Lozano
F. W. J. Olver
+ General connection formulae for Liouville-Green approximations in the complex plane 1978 F. W. J. Olver
+ Sufficient Conditions for Ackerberg–O’Malley Resonance 1978 F. W. J. Olver
+ Connection Formulas for Second-Order Differential Equations Having an Arbitrary Number of Turning Points of Arbitrary Multiplicities 1977 F. W. J. Olver
+ Connection Formulas for Second-Order Differential Equations with Multiple Turning Points 1977 F. W. J. Olver
+ PDF Chat Second-Order Differential Equations with Fractional Transition Points 1977 F. W. J. Olver
+ PDF Chat Second-order differential equations with fractional transition points 1977 F. W. J. Olver
+ Improved error bounds for second-order differential equations with two turning points 1976 F. W. J. Olver
+ Introduction to Asymptotics and Special Functions 1975 Wolfgang Wasow
F. W. J. Olver
+ Second-order linear differential equations with two turning points 1975 F. W. J. Olver
+ Legendre functions with both parameters large 1975 F. W. J. Olver
+ Unsolved Problems in the Asymptotic Estimation of Special Functions 1975 F. W. J. Olver
+ RECENT ERROR ANALYSIS OF ASYMPTOTIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS 1975 F. W. J. Olver
+ SUMS AND SEQUENCES 1974 F. W. J. Olver
+ INTRODUCTION TO SPECIAL FUNCTIONS 1974 F. W. J. Olver
+ THE LIOUVILLE–GREEN APPROXIMATION 1974 F. W. J. Olver
+ DIFFERENTIAL EQUATIONS WITH A PARAMETER: TURNING POINTS 1974 F. W. J. Olver
+ DIFFERENTIAL EQUATIONS WITH IRREGULAR SINGULARITIES; BESSEL AND CONFLUENT HYPERGEOMETRIC FUNCTIONS 1974 F. W. J. Olver
+ INTEGRALS OF A REAL VARIABLE 1974 F. W. J. Olver
+ DIFFERENTIAL EQUATIONS WITH REGULAR SINGULARITIES; HYPERGEOMETRIC AND LEGENDRE FUNCTIONS 1974 F. W. J. Olver
+ INTRODUCTION TO ASYMPTOTIC ANALYSIS 1974 F. W. J. Olver
+ INTEGRALS: FURTHER METHODS 1974 F. W. J. Olver
+ DIFFERENTIAL EQUATIONS WITH A PARAMETER: EXPANSIONS IN ELEMENTARY FUNCTIONS 1974 F. W. J. Olver
+ CONTOUR INTEGRALS 1974 F. W. J. Olver
+ CONNECTION FORMULAS FOR SOLUTIONS OF DIFFERENTIAL EQUATIONS 1974 F. W. J. Olver
+ ESTIMATION OF REMAINDER TERMS 1974 F. W. J. Olver
+ INTRODUCTION TO SPECIAL FUNCTIONS 1974 F. W. J. Olver
+ CONTOUR INTEGRALS 1974 F. W. J. Olver
+ DIFFERENTIAL EQUATIONS WITH A PARAMETER: SIMPLE POLES AND OTHER TRANSITION POINTS 1974 F. W. J. Olver
+ PDF Chat Note on Backward Recurrence Algorithms 1972 F. W. J. Olver
D. J. Sookne
+ PDF Chat Note on backward recurrence algorithms 1972 F. W. J. Olver
David J. Sookne
+ A Paradox in Asymptotics 1970 F. W. J. Olver
+ Why Steepest Descents? 1970 F. W. J. Olver
+ Error bounds for the laplace approximation for definite integrals 1968 F. W. J. Olver
+ Bounds for the solutions of second-order linear difference equations 1967 F. W. J. Olver
+ Numerical solution of second-order linear difference equations 1967 F. W. J. Olver
+ Error analysis of phase-integral methods. I. General theory for simple turning points 1965 F. W. J. Olver
+ On the Asymptotic Solution of Second-Order Differential Equations Having an Irregular Singularity of Rank One, with an Application to Whittaker Functions 1965 F. W. J. Olver
+ Error Bounds for Asymptotic Solutions of Second-Order Differential Equations Having an Irregular Singularity of Arbitrary Rank 1965 F. W. J. Olver
Frank Stenger
+ PDF Chat Error analysis of Miller’s recurrence algorithm 1964 F. W. J. Olver
+ Tables for Bessel Functions of Moderate or Large Orders 1963 A. F.
F. W. J. Olver
+ Two inequalities for parabolic cylinder functions 1961 F. W. J. Olver
+ Error bounds for the Liouville–Green (or WKB) approximation 1961 F. W. J. Olver
+ Bessel Functions, Part III, Zeros and Associated Values. 1961 Y. L. L.
F. W. J. Olver
+ Linear Differential Equations of the Second Order with a Large Parameter 1959 F. W. J. Olver
+ Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter 1958 F. W. J. Olver
+ The asymptotic solution of linear differential equations of the second order in a domain containing one transition point 1956 F. W. J. Olver
+ PDF Chat Errors in asymptotic solutions of linear ordinary differential equations 1956 F. W. J. Olver
+ The asymptotic solution of linear differential equations of the second order for large values of a parameter 1954 F. W. J. Olver
+ The asymptotic expansion of bessel functions of large order 1954 F. W. J. Olver
+ Note on the Asymptotic Expansion of Generalized Hypergeometric Functions 1953 F. W. J. Olver
+ Some new asymptotic expansions for Bessel functions of large orders 1952 F. W. J. Olver
E. T. Goodwin
+ The evaluation of zeros of high-degree polynomials 1952 F. W. J. Olver
+ A further method for the evaluation of zeros of Bessel functions and some new asymptotic expansions for zeros of functions of large order 1951 F. W. J. Olver
+ Notes on Numerical Analysis--3: Solution of Differential Equations by Recurrence Relations 1951 C. W. Clenshaw
F. W. J. Olver
+ A new method for the evaluation of zeros of Bessel functions and of other solutions of second-order differential equations 1950 F. W. J. Olver
Common Coauthors
Coauthor Papers Together
Daniel W. Lozier 6
C. W. Clenshaw 4
Adri B. Olde Daalhuis 3
John M. Smith 2
Ronald F. Boisvert 2
Bruce R. Fabijonas 2
Charles W. Clark 2
Peter Turner 2
Wolfgang Wasow 1
David J. Sookne 1
Y. L. L. 1
R. Wong 1
J. H. Wilkinson 1
Frank Stenger 1
A. F. 1
Nico Μ. ΀emme 1
Carlos J. Lozano 1
D. J. Sookne 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Asymptotics and Special Functions 1974 14
+ Asymptotics and Special Functions 1997 F. W. J. Olver
 14
+ Second-order linear differential equations with two turning points 1975 F. W. J. Olver
 10
+ Asymptotic Expansions: Their Derivation and Interpretation 1975 Y. L. L.
R. Dingle
 7
+ Legendre functions with both parameters large 1975 F. W. J. Olver
 6
+ A Treatise on the Theory of Bessel Functions 1944 H. T. Davis
G. N. Watson
 6
+ Ordinary Differential Equations 1945 A. T. Lonseth
E. L. Ince
 5
+ On approximate solutions of linear differential equations 1953 Harold Jeffreys
 5
+ ON THE CHOICE OF STANDARD SOLUTIONS FOR A HOMOGENEOUS LINEAR DIFFERENTIAL EQUATION OF THE SECOND ORDER 1950 J. C. P. Miller
 5
+ Connection Formulas for Second-Order Differential Equations with Multiple Turning Points 1977 F. W. J. Olver
 5
+ Uniform asymptotic smoothing of Stokes’s discontinuities 1989 Michael Berry
 5
+ Numerical solution of second-order linear difference equations 1967 F. W. J. Olver
 5
+ Error Bounds for Asymptotic Solutions of Second-Order Differential Equations Having an Irregular Singularity of Arbitrary Rank 1965 F. W. J. Olver
Frank Stenger
 4
+ Tables of Weber parabolic cylinder functions 1956 4
+ Asymptotics and Special Functions 1975 Wolfgang Wasow
F. W. Olver
 4
+ Computational Aspects of Three-Term Recurrence Relations 1967 Walter Gautschi
 4
+ General connection formulae for Liouville-Green approximations in the complex plane 1978 F. W. J. Olver
 4
+ Asymptotic expansions for ordinary differential equations 1965 Wolfgang Wasow
 4
+ The asymptotic solution of linear differential equations of the second order in a domain containing one transition point 1956 F. W. J. Olver
 4
+ Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter 1958 F. W. J. Olver
 4
+ A Treatise on the Theory of Bessel Functions. 1923 Matthew Porter
G. N. Watson
 4
+ PDF Chat On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order 1931 Rudolph E. Langer
 4
+ Asymptotic expansions for ordinary differential equations 1967 A. Erdélyi
 4
+ Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one 1998 Adri B. Olde Daalhuis
 3
+ On the Asymptotic Solution of Second-Order Differential Equations Having an Irregular Singularity of Rank One, with an Application to Whittaker Functions 1965 F. W. J. Olver
 3
+ PDF Chat Asymptotic Expansions 1956 Leo Moser
Max Wyman
 3
+ PDF Chat Analytic theory of linear differential equations 1933 W. J. Trjitzinsky
 3
+ Error bounds for asymptotic solutions of differential equations.I. Distinct eigenvalue case 1966 Frank Stenger
 3
+ Error bounds for the Liouville–Green (or WKB) approximation 1961 F. W. J. Olver
 3
+ Bounds for the solutions of second-order linear difference equations 1967 F. W. J. Olver
 3
+ The asymptotic expansion of bessel functions of large order 1954 F. W. J. Olver
 3
+ A new method for the evaluation of zeros of Bessel functions and of other solutions of second-order differential equations 1950 F. W. J. Olver
 3
+ PDF Chat Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations 1994 F. W. J. Olver
 3
+ Asymptotic Expansions of Integrals 1975 Norman Bleistein
Richard A. Handelsman
 3
+ Lateral connections for asymptotic solutions around higher order turning points 1975 Anthony W. Leung
 3
+ Exponentially-Improved Asymptotic Solutions of Ordinary Differential Equations I: The Confluent Hypergeometric Function 1993 F. W. J. Olver
 3
+ PDF Chat Uniform asymptotic formulae for functions with transition points 1950 T. M. Cherry
 3
+ PDF Chat The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to the Stokes phenomenon 1934 Rudolph E. Langer
 3
+ The asymptotic evaluation of certain integrals 1963 A. Erdélyi
Max Wyman
 3
+ The Distribution of Leading Significant Digits 1982 Peter Turner
 3
+ The asymptotic expansion of legendre function of large degree and order 1957 R. C. Thorne
 3
+ PDF Chat Hyperasymptotic solutions of second-order linear differential equations I 1995 Adri B. Olde Daalhuis
F. W. J. Olver
 2
+ Calculating connection coefficients for Meromorphic differential equations 1997 Donald A. Lutz
Reinhard SchÀfke
 2
+ PDF Chat Algorithm 644 1986 D. E. Amos
 2
+ ASYMPTOTIC BEHAVIOUR AS λ→∞ OF THE SOLUTION OF THE EQUATION<i>w</i>″(<i>z</i>)−<i>p</i>(<i>z</i>, λ)<i>w</i>(<i>z</i>) = 0 IN THE COMPLEX<i>z</i>-PLANE 1966 M A Evgrafov
M. V. Fedoryuk
 2
+ Overflow, Underflow, and Severe Loss of Significance in Floating-Point Addition and Subtraction 1986 Alan Feldstein
Peter Turner
 2
+ PDF Chat Second-order differential equations with fractional transition points 1977 F. W. J. Olver
 2
+ Error bounds for the laplace approximation for definite integrals 1968 F. W. J. Olver
 2
+ PDF Chat A Posteriori Error Bounds for Gaussian Elimination 1982 F. W. J. Olver
J. H. Wilkinson
 2
+ PDF Chat On an extension theorem and its application for turning point problems of large order 1973 Toshihiko Nishimoto
 2